Key skills application of number dult numeracy Level 2 Test Paper YOU NEE This test paper n answer sheet ruler marked in mm and cm You may NOT use a calculator You may use a bilingual dictionary You may write on this paper if it helps you to work things out o NOT open this paper until you are told to do so by the supervisor THERE RE 40 QUESTIONS IN THIS TEST Total marks available: 40 Try to answer LL the questions YOU HVE 1 HOUR 15 MINUTES TO FINISH THE TEST INSTRUTIONS Make sure your personal details are entered correctly on the answer sheet Read each question carefully Follow the instructions on how to complete the answer sheet t the end of the test, hand the test paper, your answer sheet and all notes to the supervisor REMEMER: YOU HVE 1 HOUR 15 MINUTES TO FINISH THE TEST INSTRUTIONS TO ENTRES This paper must not be photocopied First published in 2004. Qualifications and urriculum uthority 2004. Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, unless within the terms of licences issued by the opyright Licensing gency. Printed in Great ritain. The Qualifications and urriculum uthority is an exempt charity under Schedule 2 of the harities ct 1993. Qualifications and urriculum uthority, 83 Piccadilly, London W1J 8Q. www.qca.org.uk Ref: on/l2/2.2/p10/urn:53
Questions 1 to 11 are about a dairy. 1 The dairy stores milk in tanks. iagram of a tank iagram not to scale 3m 2m 3.5m What is the volume of this tank? 8.5m 3 17.5m 3 21.0m 3 25.5m 3 2 Key skills application of number dult numeracy Level 2 URN:53
2 gauge on a tank shows how much milk it contains. iagram of part of the gauge litres 4 000 3 000 2 000 n employee takes 1 500 litres of milk out of the tank. How much milk is left in the tank after this? 1 850 litres 2 150 litres 2 200 litres 2 250 litres Key skills application of number dult numeracy Level 2 URN:53 3
3 The dairy usually bottles 12 000 litres of milk in a day. 1 litre is approximately 1 pints 3 4 pproximately how many one-pint bottles do they fill? 7 000 9 000 16 000 21 000 4 One day, a machine breaks down. Instead of the usual 12 000 litres, the dairy bottles only 1 450 litres of milk. s a fraction of the usual amount of milk, this is closest to 1 7 1 8 1 9 1 10 4 Key skills application of number dult numeracy Level 2 URN:53
5 The dairy buys a new milk tanker. The formula below gives the capacity of the tanker in litres. = 3r 2 L x 1 000 where = capacity of tanker r = 1 metre L = 4 metres What is the capacity of the tanker? 12 000 litres 24 000 litres 36 000 litres 48 000 litres 6 milkman uses a vehicle to deliver milk to customers. The space for milk crates on the vehicle measures 2 metres long by 1.6 metres wide by 1 metre high. iagram of a milk crate iagram not to scale 50cm 20cm 40cm The crates fit together with no gaps between them. What is the largest number of crates that fit in the space on the vehicle? 13 40 75 80 Key skills application of number dult numeracy Level 2 URN:53 5
Questions 7 to 10 use the following information. milkman keeps a record of the number of bottles of milk he delivers over four weeks. He delivers on six days a week. Monday Tuesday Wednesday Thursday Friday Saturday Total ottles of milk delivered Week 1 Week 2 Week 3 Week 4 556 531 510 516 536 532 530 534 539 3227 530 582 502 512 583 3240 568 598 519 568 597 589 530 516 530 595 3360 3276 7 What is the difference between the mean number of bottles per delivery day in week 3 and in week 4? 12 14 38 84 8 What is the range of the number of bottles per day the milkman delivers during the four weeks? 30 39 93 96 9 The milkman needs to deliver more than 530 bottles per day to make a profit. On how many days during the four weeks does he make a profit? 4 7 14 17 6 Key skills application of number dult numeracy Level 2 URN:53
10 The dairy presents the number of pints the milkman delivers each week in July on a graph. 3 600 Pints of milk delivered per week in July 3 500 3 400 3 300 Pints 3 200 3 000 2 800 2 600 2 400 Week 1 Week 2 Week 3 Week 4 Week What is wrong with this graph? The axis labels are incorrect There are data points missing The title is incorrect The vertical scale is incorrect Key skills application of number dult numeracy Level 2 URN:53 7
11 The dairy uses the formula below to calculate the area of the wrapping paper () for a pack of butter. = (L + H + 2) (2W + 2H + 2) Where L = 11 centimetres W = 6 centimetres H = 4 centimetres What is the area of the wrapping paper? 39cm 2 59cm 2 214cm 2 374cm 2 8 Key skills application of number dult numeracy Level 2 URN:53
Questions 12 to 15 are about a company that hires out security equipment. 12 The table below shows the costs of hiring security equipment. Floodlight Equipment osts of hiring security equipment ost of hire for one week 18.00 ost of hire per additional week 15.00 elivery (one payment per item) 10.00 Generator 12.00 6.00 7.50 Security fence panel 5.00 3.00 5.00 Security TV system 35.00 20.00 100.00 Tool safe 45.00 25.00 100.00 What is the price of hiring a generator for four weeks, including delivery? 31.50 37.50 55.50 60.00 Please go on to the next page Key skills application of number dult numeracy Level 2 URN:53 9
13 customer hires security fencing to make a secure site. 4m Plan of secure site iagram not to scale 6m 2m 2m Key Position of fence panels Wall 10m The corners of the site are all right angles. How many 2-metre-long fence panels does he need? 7 13 18 26 10 Key skills application of number dult numeracy Level 2 URN:53
14 n employee drives to the site. The site is a 40-minute drive from the shop. 1 1 He takes 1 hours to unload the fencing and 5 hours to install it. 4 2 He then drives back to the shop. How long does he take in total? 7 hours 25 minutes 7 hours 55 minutes 8 hours 5 minutes 8 hours 10 minutes 15 driver makes deliveries from a shop in lbury to three nearby towns. The driver starts and finishes in lbury. The diagram below shows the distances in miles between the towns. lbury Sinden 21 21 12 19 iagram not to scale 10 Newley 5 Maldon Which is the shortest route to take? lbury Maldon Newley Sinden lbury lbury Maldon Sinden Newley lbury lbury Newley Sinden Maldon lbury lbury Sinden Maldon Newley lbury Key skills application of number dult numeracy Level 2 URN:53 11
Questions 16 to 21 are about painting and furnishing a bedsit. 16 woman paints the bedsit. Plan of bedsit 4.5m 2.5m iagram not to scale 4m 2m 1.5m 2.5m What is the area of the ceiling? 11m 2 13m 2 15m 2 17m 2 12 Key skills application of number dult numeracy Level 2 URN:53
17 The woman buys two tins of paint for the room. The paint costs 13.95 per tin. The shop has a special offer. Which calculation gives the price for two tins of paint? 13.95 + 13.95 3 13.95 13.95 3 13.95 x 2 + 13.95 3 13.95 x 2 13.95 3 Key skills application of number dult numeracy Level 2 URN:53 13
18 The woman decides to buy a new blind for the window. The window is 199 centimetres in height and 105 centimetres in width. The table shows the price of blinds. Height less than Price of blinds Width less than 61cm 91cm 121cm 152cm 182cm 213cm 243cm 106cm 68 87 102 122 145 176 191 137cm 76 100 119 143 167 196 225 167cm 86 114 137 166 193 225 257 198cm 96 129 155 188 220 256 294 213cm 101 136 164 200 233 272 312 243cm 112 152 183 224 261 304 349 What is the price of a blind to fit the window? 129 155 164 176 19 The woman plans how to arrange the furniture using a scale drawing of the bedsit. The scale is 1 : 50 The actual sofa is 2 metres long. What length is the sofa on the scale drawing? 1cm 4cm 10cm 25cm 14 Key skills application of number dult numeracy Level 2 URN:53
20 The woman buys a new gas fire for the bedsit. This graph shows the running costs for the fire. 6.00 ost per week of running the gas fire at different settings ost per week in 5.00 4.00 3.00 2.00 Key High Normal Low 1.00 0 5 10 15 Hours per day How much less does it cost per week to run the gas fire for six hours a day on Low setting compared to Normal setting? 0.15 0.30 1.50 2.10 21 Furniture must be at least 15 inches from the gas fire to avoid scorching. 1 inch is approximately 2.5 centimetres pproximately how far is 15 inches in centimetres? 3.75cm 6.0cm 37.5cm 60.0cm Key skills application of number dult numeracy Level 2 URN:53 15
Questions 22 to 26 are about a beach party held to raise money for charity. Eighty people buy tickets for the party. 22 The organisers work out the costs of the party. Hire of barbecue 49.60 Gas for barbecue 12.60 Food 475.00 rink 390.00 Plates, glasses, cutlery 32.80 Tickets cost 25. How much money do the organisers have left after paying all the costs? 300 640 960 1 040 23 The organisers buy mineral water for the party. They buy enough for three 400ml glasses per person. Which calculation gives the number of 1.5 litre bottles to buy? 3 x 400 x 1.5 1 000 x 80 1 000 x 1.5 3 x 400 x 80 1 000 x 80 3 x 400 x 1.5 3 x 400 x 80 1 000 x 1.5 16 Key skills application of number dult numeracy Level 2 URN:53
24 The organisers also make 60 litres of fruit punch for the party. They mix juices in the ratio grape juice : peach juice : orange juice = 2 : 3 : 5 How much grape juice do they use? 6 litres 12 litres 15 litres 30 litres Please go on to the next page Key skills application of number dult numeracy Level 2 URN:53 17
Questions 25 and 26 are about some people at the party who go jet skiing. 25 scale plan of the beach shows the position of the Jet Ski Hire. Swanpool R PRK X X Jet Ski Hire You are here Scale 1 : 25 000 How far is it from the point labelled You are here to the Jet Ski Hire? 50m 125m 500m 1 250m 18 Key skills application of number dult numeracy Level 2 URN:53
26 jet ski uses 6 litres of fuel per hour. The fuel tank holds 24 litres when full. 3 The fuel gauge on one jet ski shows that the tank is full. 8 How long should the jet ski run before the tank is empty? 40 minutes 54 minutes 90 minutes 150 minutes Please go on to the next page Key skills application of number dult numeracy Level 2 URN:53 19
Questions 27 to 30 are about a library with internet access. 27 The library changes its opening times. Old opening times New opening times 9:00am to 5:00pm six days a week 10:00am to 8:00pm six days a week What is the percentage increase in opening times? 2% 12% 20% 25% 20 Key skills application of number dult numeracy Level 2 URN:53
Questions 28 and 29 use the following information. n assistant records the number of internet users per week before the change in opening times and after the change in opening times. 28 The mean number of users per week before the change in opening times is 20. What is the mean number of users per week after the change? 26 31 32 34 29 What is the difference in the ranges of the number of people using the internet before and after the change in opening times? 2 3 6 9 Key skills application of number dult numeracy Level 2 URN:53 21
30 The library manager collects data on the age of internet users. She wants to make a chart or graph to show the proportion of internet users in different age groups. Which is the most appropriate method of showing this? a pie chart a pictogram a bar chart a scattergraph 22 Key skills application of number dult numeracy Level 2 URN:53
Questions 31 and 32 are about the hard disk on a computer. 31 technician checks the amount of space on the hard disk. The computer shows the following chart. Space on hard disk Unused 16% Used 84% pproximately what fraction of the disk is unused? 1 5 1 6 1 8 1 16 Key skills application of number dult numeracy Level 2 URN:53 23
32 The disk on the computer has a capacity of 650 megabytes. The technician installs an additional disk with a capacity of 5.2 gigabytes. Use the approximation 1 gigabyte = 1 000 megabytes What is the total disk capacity on the computer? 702 megabytes 1 170 megabytes 5 850 megabytes 52 650 megabytes Questions 33 to 35 are about a dog owner. The dog owner has two dogs. 33 The owner buys a bag of dry food weighing 30 kilograms. Each dog eats 350 grams of the food per day. The owner calculates that the bag of food will last the dogs just over 6 weeks. Which calculation checks this result? 1 000 = 30 6 x 7 x 2 x 350 350 = 30 6 x 7 x 2 x 1 000 6 x 7 x 2 x 1 000 = 30 350 6 x 7 x 2 x 350 = 30 1 000 24 Key skills application of number dult numeracy Level 2 URN:53
34 The owner has insurance for vet fees. Last year he paid 90 per year for each dog. This year he gets a 15% reduction. How much does the owner pay this year for insurance for the two dogs? 126 150 153 168 35 The vet checks the weight of one of the dogs. The vet weighs the owner carrying the dog, and then again without the dog. The diagram below shows the weights on the scales. Owner and dog Owner alone 80.028 63.747 kilograms kilograms What is the weight of the dog to the nearest half of a kilogram? 16.0kg 16.2kg 16.3kg 16.5kg Key skills application of number dult numeracy Level 2 URN:53 25
Questions 36 to 40 are about a small business. man opens a small garage with a shop selling newspapers and groceries. 36 When the shop opens, there is 50 in the till. t the end of the day, the man records the money in the till. Money in till Note/coin Number 20 3 10 6 5 4 2 5 1 7 50p 5 20p 6 10p 5p 2p 1p 16 7 6 11 How much more money is there in the till at the end of the day than when the shop opened? 88.88 112.88 162.88 212.88 26 Key skills application of number dult numeracy Level 2 URN:53
37 The table below shows the profit or loss the business makes in the first six months. Month March pril May June July ugust Profit or loss( ) 4 678 1 856 1 083 234 1 981 2 083 What is the total profit or loss for the six months? 1 621 loss 1 621 profit 11 915 loss 11 915 profit 38 The businessman wants to find his average monthly overheads. He does not want the average to be distorted by any unusually high or low monthly overheads. Which is the most appropriate measure to use? the median the mean the mode the range Key skills application of number dult numeracy Level 2 URN:53 27
39 The man sells petrol at 75.9 pence per litre. He checks the price of petrol in 10 other garages in the area. Price of petrol in pence per litre 75.9 76.3 74.6 74.1 73.9 75.9 73.9 74.1 75.9 74.4 How much more is the man s selling price than the mode of prices in the 10 other garages? 0.0 pence 1.0 pence 1.4 pence 2.0 pence 28 Key skills application of number dult numeracy Level 2 URN:53
40 The man makes a graph to show the value of sales from servicing, fuel and the shop. 7 000 6 000 Value of monthly sales Value of sales ( ) 5 000 4 000 3 000 2 000 1 000 Servicing Fuel Shop 0 January February March pril May June July ugust September October November ecember Month The graph shows that over the year the value of servicing sales doubled, but the value of fuel sales halved the value of servicing sales grew every month the value of shop sales increased by a greater amount than the value of servicing sales the price of servicing increased, but the price of fuel decreased EN OF TEST Key skills application of number dult numeracy Level 2 URN:53 29